Euler Stratifications of Hypersurface Families
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929437239410688 |
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| author | Telen, Simon Wiesmann, Maximilian |
| author_facet | Telen, Simon Wiesmann, Maximilian |
| contents | We stratify families of projective and very affine hypersurfaces according to their topological Euler characteristic. Our new algorithms compute all strata using algebro-geometric techniques. For very affine hypersurfaces, we investigate and exploit the relation to critical point computations. Euler stratifications are relevant in particle physics and algebraic statistics. They fully describe the dependence of the number of master integrals, respectively the maximum likelihood degree, on kinematic or model parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Euler Stratifications of Hypersurface Families Telen, Simon Wiesmann, Maximilian Algebraic Geometry High Energy Physics - Theory Statistics Theory We stratify families of projective and very affine hypersurfaces according to their topological Euler characteristic. Our new algorithms compute all strata using algebro-geometric techniques. For very affine hypersurfaces, we investigate and exploit the relation to critical point computations. Euler stratifications are relevant in particle physics and algebraic statistics. They fully describe the dependence of the number of master integrals, respectively the maximum likelihood degree, on kinematic or model parameters. |
| title | Euler Stratifications of Hypersurface Families |
| topic | Algebraic Geometry High Energy Physics - Theory Statistics Theory |
| url | https://arxiv.org/abs/2407.18176 |